30409513041600 has 8064 divisors, whose sum is σ = 162143222169600. Its totient is φ = 5386715136000.

The previous prime is 30409513041587. The next prime is 30409513041647. The reversal of 30409513041600 is 614031590403.

30409513041600 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 9 + 5 + 1 + 3 + 0 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 366379675159 + ... + 366379675241.

It is an arithmetic number, because the mean of its divisors is an integer number (20107046400).

Almost surely, 2^{30409513041600} is an apocalyptic number.

30409513041600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30409513041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81071611084800).

30409513041600 is an abundant number, since it is smaller than the sum of its proper divisors (131733709128000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30409513041600 is a wasteful number, since it uses less digits than its factorization.

30409513041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 30409513041600 in words is "thirty trillion, four hundred nine billion, five hundred thirteen million, forty-one thousand, six hundred".